Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃³⋊₅C₄

Direct product G=N×Q with N=C₂² and Q=C₃³⋊₅C₄

		d	ρ	Label	ID
C₂²×C₃³⋊₅C₄		432		C2^2xC3^3:5C4	432,728

Semidirect products G=N:Q with N=C₂² and Q=C₃³⋊₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃³⋊₅C₄) = C₆²⋊₁₀Dic₃	φ: C₃³⋊₅C₄/C₃×C₆ → S₃ ⊆ Aut C₂²	108		C2^2:(C3^3:5C4)	432,621
C₂²⋊₂(C₃³⋊₅C₄) = C₆³.C₂	φ: C₃³⋊₅C₄/C₃²×C₆ → C₂ ⊆ Aut C₂²	216		C2^2:2(C3^3:5C4)	432,511

Non-split extensions G=N.Q with N=C₂² and Q=C₃³⋊₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃³⋊₅C₄) = C₃³⋊₁₈M₄(2)	φ: C₃³⋊₅C₄/C₃²×C₆ → C₂ ⊆ Aut C₂²	216		C2^2.(C3^3:5C4)	432,502
C₂².₂(C₃³⋊₅C₄) = C₂×C₃³⋊₇C₈	central extension (φ=1)	432		C2^2.2(C3^3:5C4)	432,501

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Extensions 1→N→G→Q→1 with N=C22 and Q=C33⋊5C4